Given numbers are 867,720,409,936

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 867,720,409,936 is 1106361360.

Find LCM of 867,720,409,936 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 3 x 289 x 10 x 409 x 13 = 1106361360

Therefore, the lowest common multiple of 867,720,409,936 is 1106361360.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

867 x 720 x 409 x 936 = 238974053760

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

867 : 1, 3, 17, 51, 289, 867

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

409 : 1, 409

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,720,409,936, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

720:2x 2x 2x 2x 3x 3x 5

409:409

936:2x 2x 2x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 238974053760/(1x216)

LCM = 238974053760/216

LCM = 1106361360

Thus, we can understand that the LCM of 867,720,409,936 is 1106361360.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 306, 914, 560, 317
• LCM of 834, 968, 870, 841
• LCM of 708, 393, 252, 104
• LCM of 130, 206, 433, 908
• LCM of 213, 478, 267, 856

1. What is the LCM of 867, 720, 409, 936?

Answer: LCM of 867, 720, 409, 936 is 1106361360.

2. How to calculate the LCM of 867, 720, 409, 936?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 867, 720, 409, 936.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.